131100313 has 2 divisors, whose sum is σ = 131100314. Its totient is φ = 131100312.

The previous prime is 131100289. The next prime is 131100341. The reversal of 131100313 is 313001131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128436889 + 2663424 = 11333^2 + 1632^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131100313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131100293 and 131100302.

It is not a weakly prime, because it can be changed into another prime (131100353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65550156 + 65550157.

It is an arithmetic number, because the mean of its divisors is an integer number (65550157).

Almost surely, 2^131100313 is an apocalyptic number.

It is an amenable number.

131100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131100313 is an equidigital number, since it uses as much as digits as its factorization.

131100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 131100313 is about 11449.9044974183. The cubic root of 131100313 is about 508.0049095874.

Adding to 131100313 its reverse (313001131), we get a palindrome (444101444).

The spelling of 131100313 in words is "one hundred thirty-one million, one hundred thousand, three hundred thirteen".